Graphing Inequalities is almost exactly the same as graphing equations. There are only 2 small differences. This lesson will discuss one difference and the next lesson will discuss the other difference.
Basically, when graphing an inequality, you graph it as if there was an equals sign instead of the inequality sign. This means that you find the y-intercept and then follow the slope to get the next point on the line. Then, you connect the two points that you plotted. The difference comes in when we're actually drawing the line.
When we're drawing the line, we MUST look at the inequality symbol if the symbol is > or <, we draw a dotted line to connect the two points. If the symbol is > or <, we use a regular (solid) line to connect the two points.
TASK: Compare and contrast graphing equations and graphing inequalities. Give at least 1 similarity and 1 difference. TASK: How do we determine if an inequality should be graphed using a dotted line or a solid line? TASK: For each of the inequalities below, determine if it should be draw with a solid line or a dotted line. Explain WHY.
Basically, when graphing an inequality, you graph it as if there was an equals sign instead of the inequality sign. This means that you find the y-intercept and then follow the slope to get the next point on the line. Then, you connect the two points that you plotted. The difference comes in when we're actually drawing the line.
When we're drawing the line, we MUST look at the inequality symbol if the symbol is > or <, we draw a dotted line to connect the two points. If the symbol is > or <, we use a regular (solid) line to connect the two points.
TASK: Compare and contrast graphing equations and graphing inequalities. Give at least 1 similarity and 1 difference.
TASK: How do we determine if an inequality should be graphed using a dotted line or a solid line?
TASK: For each of the inequalities below, determine if it should be draw with a solid line or a dotted line. Explain WHY.
1.
2.
3.
4.